The problem this normally poses for a description of the physical world is as follows: any such description must include a physical theory, physical theories are assumed to require mathematics, and mathematics is replete with references to abstract entities. How, According to the doctrine of nominalism, abstract entities--such as numbers, functions, and sets--do not exist. How, then, can nominalism reasonably be maintained? In answer, Hartry Field shows how abstract entities ultimately are dispensable in describing the physical world and that, indeed, we can "do science without numbers. The explanation of the utility of mathematics does not presuppose that mathematics is true, but only that it is consistent. The argument that the nominalist can freely use mathematics in certain contexts without assuming it to be true appears early on, and it first seems to license only a quite limited use of mathematics.
|Published (Last):||4 October 2013|
|PDF File Size:||16.5 Mb|
|ePub File Size:||2.65 Mb|
|Price:||Free* [*Free Regsitration Required]|
Science Without Numbers caused a stir in philosophy on its original publication inwith its bold nominalist approach to the ontology of mathematics and science. Journal of Philosophy 79 9: Sign in Create an account. Science Logic and Mathematics. Science without numbers, A Defence of Nominalism. Field goes on to argue that we can axiomatize physical theories using nominalistic claims only, and that in fact this has advantages over the usual axiomatizations that are independent of nominalism.
This article has no associated abstract. This volume is a reprinting of a book from with an extensive new Preface discussing issues that have fiield since the original publication.
The Logical Must Penelope Maddy. There has been much debate about the book since it first appeared. Publications Pages Publications Pages. A Defense of Nominalism Hartry H. Field, Science Without Numbers. Hartry Field argues that we can explain the utility of mathematics without assuming it true. Truth and the Absence of Fact Hartry Field.
Charles Sayward — — Peter Lang. A Defence of Nominalism. Cameron — — Philosophical Studies 1: Request removal from index. David Liggins — — Philosophical Quarterly 57 Sign in to use this feature. Sign in Create an account. History of Western Philosophy. Choose your country or region Close. Authors Affiliations are at time of print publication.
Find it on Scholar.
Science Without Numbers
Science Without Numbers: A Defence Of Nominalism
Science without Numbers